First off, I'm not entirely sure why the content is listed as beginning in 1799, since civil registration didn't begin in Hungary until October 1, 1895. From what I can see there are no images available for browsing and minimal indexes are available. The source information states the following for the database:

Original data: Hungary, Civil Registration, 1895-1980. Salt Lake City, Utah: FamilySearch, 2013.
These indexes came from FamilySearch, where they are easily browsable and searchable (for the sliver of what has been indexed so far). For Free. I began to wonder if the indexes were indeed one and the same from FamilySearch, so I did some searching. I know for a fact that I indexed and arbitrated the civil registration records for the town of Szentmihály in Szabolcs county, where my great-grandfather was born. I …

Much to the delight of my colleagues and Hungary Exchange Facebook group, many Hungarian church records have become digitized and freely viewable online at FamilySearch.org. You can now browse and enjoy these records at home, instead of needing to frequent your local FHC, and you will spend less money from having to order the microfilm. The Reformed and Roman Catholic baptism indexes, as well as the Jewish Vital Records indexes, don't appear to link up with their proper digitized image yet, so there certainly is still work to be done behind the scenes.

The best way to find your parish is to search the microfilm catalog, under the Place category, at FamilySearch.org/catalog/search. Most localities will come up this way, however not all villages or towns had a church or synagogue for each religion - hence requiring the citizens to travel to the nearest neighboring village. There are several gazetteers that help guide you to the correct parishes and many of them are now online. Here y…

Many are familiar with the Reformed and Roman Catholic baptism index collections at FamilySearch.org, however not all are aware that there is further beneficial information on these indexes other than the genealogical content. The indexes include source material to aid in viewing the actual image. In this article, I will explain the process in locating the digitized images for these baptisms and I will be using my 2x-great-grandfather's baptism index as an example. [All images to the right can be clicked for further enlarging.] On the right side of the index, you will see what is listed as the "GS Film number". "GS" stands for Genealogical Society, which is otherwise known as the Family History Library in Salt Lake City, Utah. Take the newly-found microfilm number and search for it in the microfilm catalog at FamilySearch.org. This search will result in the exact catalog title being found; click on that title and continue onward to review what is avail…